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A unified kinetic theory approach to external rarefied gas flows. Part 2. Application to a steady low-speed motion past a circular cylinder

Published online by Cambridge University Press:  29 March 2006

H. Atassi  and
S. F. Shen
H. Atassi
Affiliation:
University of Notre Dame
S. F. Shen
Affiliation:
Cornell University
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Abstract

The Navier-Stokes like equation derived by Atassi & Shen for low-speed rarefied flows is analysed for a circular geometry. Asymptotic solutions for both Kn [Lt ] 1 and Kn B [Gt ] 1 are deduced using the method of matched asymptotic expansions. For Kn [Lt ] 1, fust- and second-order solutions are obtained and compared with the corresponding BGK treatment. For Kn [Gt ] 1, this equation is used only to describe the far field, the inner solution being of the free-molecule type. The matching procedure leads to a blockage correction for the drag and heat-transfer rate. Results are compared with other theories and known experimental data.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 53 , Issue 3 , 13 June 1972 , pp. 433 - 449
Copyright
© 1972 Cambridge University Press

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References

Abramowitz, M. 1953 J. Math. Phys. 32, 188.
Atassi, H. & Brun, E. A. 1967 5th International Symposium on Rarefied Gas Dynamics (ed. L. Trilling & H. Y. Wachman), p. 805. Academic.
Atassi, H. & Shen, S. F. 1969 6th International Symposium on Rarefied Gas Dynamics Gas Dynamics (ed. J. A. Laurmann), p. 303. Academic.
Atassi, H. & Seen, S. F. 1972 J. Fluid Mech. 53, 417.
Brun, E. A., Fancy, L. & Trotel, J. 1963 3rd International Symposium on Rarefied Gas Dynamics (ed. J. A. Laurmann), p. 303. Academic.
Coudeville, H., Trépaud, P. & Brun, E. A. 1965 4th International Symposium on Rarefied Gas Dynamics (ed. J. H. DeLeevw), p. 444. Academic.
Kaflun, S. 1957 J. Math. Mech. 6, 595.
Lagerstrom, P.A. 1964 Laminar flow theory. In High Speed Aerodynamics and Jet Propulsion, vol. IV, p. 100. Princeton University Press.
Lees, L. 1959 Galcit Hypersonic Res. Proj. Memo. no. 51.
Liu, C.Y. & Passamaneok, R. 1967 5th International Symposium on Rarefied Gm Dynamics (ed. C. L. Brundin), p. 607. Academic.
Patterson, G. N. 1956 Molecular Plow of Gases, p. 170. Wiley.
Proudman, I. & Pearson, J. R. A. 1957 J. Fluid Mech. 2, 237.
Sherman, F. S. 1963 3rd International Symposium on Rarefied Gas Dynarnks (ed. J. A. Laurmann), p. 288. Academic.
Tamada, K. & Yamamoto, K. 1967 Dept. Aero. Eng. University of Tokyo Rep.
Tomotika, S. & AOI, T. 1950 Quart. J. Math. 23, 143.
Van Dyke, M. 1964 Perturbation Methods in Fluid Mechanics, p. 149. Academic.